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Finding the Fourth Proportional to 28,971.60, 39,982 and 17,797.20

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Solution

The fourth proportional to 28,971.60, 39,982 and 17,797.20 is: 24,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,971.60 : 39,982 = 17,797.20 : x
  2. Step 2: Convert to fraction form
    28,971.60/39,982 = 17,797.20/x
  3. Step 3: Cross multiply
    28,971.60x = 39,982 × 17,797.20
  4. Step 4: Simplify right side
    28,971.60x = 711,567,650.40
  5. Step 5: Solve for x
    x = 711,567,650.40/28,971.60
  6. Step 6: Final answer
    x = 24,560.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.